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Finding the Fourth Proportional to 65,597.46, 98,340.12 and 30,046.86

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Solution

The fourth proportional to 65,597.46, 98,340.12 and 30,046.86 is: 45,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,597.46 : 98,340.12 = 30,046.86 : x
  2. Step 2: Convert to fraction form
    65,597.46/98,340.12 = 30,046.86/x
  3. Step 3: Cross multiply
    65,597.46x = 98,340.12 × 30,046.86
  4. Step 4: Simplify right side
    65,597.46x = 2,954,811,818.02
  5. Step 5: Solve for x
    x = 2,954,811,818.02/65,597.46
  6. Step 6: Final answer
    x = 45,044.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.